Toeplitz Matrices and Singular Integral Equations

InhaltsverzeichnisEssay on Bernd Silbermann.Publications of Bernd Silbermann.Toeplitz Corona Problem for Algebras of Almost Periodic Functions.Sums of Idempotents in the Banach Algebra Generated by the Compact Operators and the Identity.Asymptotic Formulas for the Determinants of Symmetric Toeplitz plus Hankel Matrices.On the Determinant Formulas by Borodin, Okounkov, Baik, Deift and Rains.On the Distance of a Large Toeplitz Band Matrix to the Nearest Singular Matrix.Singular Integral Equations on Piecewise Smooth Curves in Spaces of Smooth Functions.Spline Approximation Methods for the Biharmonic Dirichlet Problem on Non-smooth Domains.On Rank Invariance of Schwarz-Pick-Potapov Block Matrices of Matrix-valued Carathéodory Functions.Finite Section Method for Linear Ordinary Differential Equations Revisited.Fast Algorithms for Skewsymmetric Toeplitz Matrices.On Collocation Methods for Nonlinear Cauchy Singular Integral Equations.Local method for nonlocal operators on Banach spaces.Numerical Solution of Mellin Type Equations via Wiener-Hopf Equations.A 1-parameter Scale of Closed Ideals Formed by Strictly Singular Operators.Local Theory of the Fredholmness of Band-dominated Operators with Slowly Oscillating Coefficients.More Inequalities and Asymptotics for Matrix Valued Linear Positive Operators: the Noncommutative Case.Toeplitz Determinants, Random Matrices and Random Permutations.